ARTICLE IN PRESS Applied Radiation and Isotopes 68 (2010) 993–1005 Contents lists available at ScienceDirect Applied Radiation and Isotopes journal homepage: www.elsevier.com/locate/apradiso Review Compton scatter imaging: A tool for historical exploration G. Harding a,, E. Harding b a GE Security Germany GmbH, Heselstuecken 3, D-22453 Hamburg, Germany University of Muenster, Interdisciplinary Research Training Group ‘‘Societal symbolism in mediaeval and early modern times’’ (German Research Foundation, DFG), Pferdegasse 3/ D-48143 Münster, Germany b a r t i c l e in fo abstract Article history: Received 22 July 2009 Received in revised form 21 January 2010 Accepted 21 January 2010 This review discusses the principles and technological realisation of a technique, termed Compton scatter imaging (CSI), which is based on spatially resolved detection of Compton scattered X-rays. The applicational focus of this review is to objects of historical interest. Following a historical survey of CSI, a description is given of the major characteristics of Compton X-ray scatter. In particular back-scattered X-rays allow massive objects to be imaged, which would otherwise be too absorbing for the conventional transmission X-ray technique. The ComScan (an acronym for Compton scatter scanner) is a commercially available backscatter imaging system, which is discussed here in some detail. ComScan images from some artefacts of historical interest, namely a fresco, an Egyptian mummy and a mediaeval clasp are presented and their use in historical analysis is indicated. The utility of scientific and technical advance for not only exploring history, but also restoring it, is briefly discussed. & 2010 Elsevier Ltd. All rights reserved. Keywords: Compton scatter Radiology History Cultural application Contents 1. 2. 3. 4. Historical overview of X-ray scatter imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 994 Summary of compton effect physics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 994 2.1. Energy of compton scatter photon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 994 2.1.1. Angular distribution of compton scatter. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 995 2.1.2. Compton profile . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 995 2.1.3. Material characterization using the compton profile . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 996 2.2. Comparison of scatter and transmission imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 996 2.2.1. Backscatter measurement geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 997 2.2.2. Density sensitivity of transmission radiography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 997 2.2.3. Density sensitivity of Compton radiography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 997 2.2.4. Tomography with scattered and transmitted X-rays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 997 Compton X-ray scatter imaging techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 998 3.1. Compton imaging topologies. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 998 3.1.1. Point-by-point imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 998 3.1.2. Line-by-line imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 998 3.1.3. Plane-by-plane imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 999 3.1.4. Energy-coded scatter imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 999 3.2. Densitometry with scattered X-rays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 999 3.2.1. Numerical corrections for attenuation effects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 999 3.2.2. Dual energy determination of attenuation factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1000 3.2.3. Multiple scatter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1000 3.2.4. Multiple scatter reduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1000 3.2.5. Multiple scatter calculation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1000 3.2.6. Multiple scatter modelling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1001 Description of ComScan system . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1001 4.1. General considerations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1001 4.1.1. Radiation source. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1001 4.1.2. Primary beam collimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1001 Corresponding author. E-mail address: Geoffrey.Harding@ge.com (G. Harding). 0969-8043/$ - see front matter & 2010 Elsevier Ltd. All rights reserved. doi:10.1016/j.apradiso.2010.01.035 ARTICLE IN PRESS 994 5. 6. G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 4.1.3. Detector array . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1001 4.1.4. Scatter collimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1002 4.2. Data acquisition and processing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1002 Historical applications of ComScan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1002 5.1. Scientific approaches to history . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1002 5.2. History and natural sciences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1002 5.3. Applications and interpretations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1002 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1004 Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1004 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1004 1. Historical overview of X-ray scatter imaging Optical visualisation of our surroundings is based on stimulation of the retina by scattered light. Analogously, scattered X-rays may be used to probe objects that are invisible to the naked eye. There are several different forms that X-ray scatter can take (e.g. fluorescent, coherent, inelastic, etc.) corresponding to the type of physical interaction that is responsible for it. In this review we focus on Compton scattering, so named after the American physicist, Arthur H. Compton, who was awarded the Nobel Prize in 1927 for his interpretation of the X-ray scatter effect that bears his name. Although Compton scattering is important in its own right as providing one of the first demonstrations of the dual nature—particle and wave—of light, it has subsequently been employed as the basis of an image-forming technique for materials that are not transparent to visible light. Compton scatter imaging (often abbreviated to CSI) was first described by Lale (1959) in the medical field and his work inspired many publications on Compton scatter radiography. In restricting this introduction to applications of Compton scatter imaging outside of the medical field, it is in no way intended to detract from his pioneering work. For further information on Compton scatter imaging in medical diagnosis, reference can be made to the review article of Guzzardi and Licitra (1988). Historically, the next field to which CSI was applied was nondestructive testing (NDT); and this was mainly stimulated by three attractive properties of the scatter technique. First it is possible to place both the radiation source and the detector on the same side of the medium when back-scattered radiation is recorded. This is clearly advantageous when surface layers of voluminous structures (e.g. thick walls, highways, bridges, etc.) are to be examined as it avoids the necessity for a transmission measurement. CSI is indeed an excellent imaging technique for the many structures of historical interest that are only accessible from one side. Compton back-scatter has a long tradition of use as a probe of density for bulk homogenous materials including soil (Christensen, 1972), concrete (Adil, 1977) and other materials (Gautam et al., 1983; Charbucinski and Mathew, 1982; Arkhipov et al., 1976; Bukshpan et al., 1975). Such density probes usually monitor the energy spectrum of back-scatter flux induced on irradiation with a wide-angle beam of gamma-radiation. The flux and in some cases the shape of the back-scatter spectrum give information on the density and composition of the scatter medium. Careful calibration of these devices using materials that closely resemble those under investigation is essential. Because in most cases a single detector views all the radiation scattered back out of the object they are relatively insensitive to depth variations in material composition. Nevertheless the application of Compton densitometry to the detection of buried land-mines as originally discussed by Roder and Van Konynenburg (1975) is still the subject of ongoing investigation (Wehlburg et al., 1995). A second attractive feature of Compton scatter is its greater sensitivity than the transmission mode to density variations in low-density materials, such as gases (Bayly, 1962). We will consider in Section 2.2 in more detail the conditions under which a scatter measurement is to be preferred to transmission from the point of view of contrast sensitivity. Finally the fact that Compton scattering allows direct 3-D spatial definition with high contrast resolution as found by Lale (1959) motivated the AIDECS system, an acronym for automated inspection device for explosive charge in shells, (Stokes et al., 1982) and the ComScan (Compton Scatter Scanner) device (Harding et al., 1984). The ComScan will be considered in more detail later in this review as it has found a wide range of application and is the only commercially available tomographic Compton scatter imaging device of which this author is aware. This review presents some Compton scatter images of objects of historical interest obtained with the ComScan device. A discussion of X-ray scatter imaging cannot be termed complete without at least a mention of the interesting fact that coherent scatter is the dominant contribution to the low angle scatter in medical or industrial radiography (Neitzel et al., 1985). This recognition has prompted the development of X-ray diffraction imaging, which is increasingly used for explosives and drug detection (Harding and Harding, 2007). A discussion of these techniques is outside the scope of this review; hence the interested reader is referred to the literature. The next section summarizes the most important physical relationships of the Compton effect over the photon energy range from 10 keV to 10 MeV, which is of interest in X-ray scatter imaging applications. 2. Summary of compton effect physics The importance of Compton scattering relative to other interaction phenomena can be judged from Fig. 1, showing the various components of the attenuation coefficient in aluminium for photon energies between 10 keV and 100 MeV. Aluminium has been chosen as roughly representative of the low and moderate atomic number (Z) materials (e.g. wood, stone, etc.) commonly encountered in archaeological Compton scatter imaging. Compton scattering dominates the attenuation coefficient over the energy range, important for radiographic imaging, from 100 keVrE0 r10 MeV and only varies by a factor of 10 between these two energy limits. 2.1. Energy of Compton scatter photon The Compton effect is described in more detail in review works such as those of Cooper (1985) and Williams (1977); hence it is only necessary to summarise the essential relationships here. Compton scattering refers to the interaction of X-ray quanta with those atomic electrons whose binding energies are much less than the energy transferred on scattering. An interesting semi-classical account of the scattering process (Bohm, 1966) assumes that an electron is accelerated by the radiation pressure of the incoming wave until its de Broglie wavelength lB ¼ h=me v (v =electron velocity and me its relativistic mass) is equal to the wavelength of the incoming photon. The Doppler shift of the wave emitted by the moving electron leads to Compton’s equation (Eq. (1)) in which E1 is the energy of ARTICLE IN PRESS 100 2000 10 1800 total 0.1 0.01 coherent pair 0.001 0.0001 0.01 Compton photo 0.1 1 10 Photon energy in MeV 45° 1400 1200 1000 800 90° 600 100 400 200 Fig. 1. Contributions to total attenuation coefficient in AI from 10 keV to 100 MeV. Values of partial interaction coefficients are from Berger and Hubbell (1987). 180° 0 0 2000 the secondary and E0 that of the primary radiation: E1 ðyÞ ¼ 995 1600 1 Scatter energy (keV) Attenuation in cm2 g-1 G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 E0 me c2 ðme c2 þ E0 ½1cos yÞ ð1Þ 4000 6000 Primary energy (keV) 8000 10000 Fig. 2. Compton energy dependence (cf. Eq. (1)) on energy of primary radiation for angles of scatter of 451, 901 and 1801. y is the angle of scatter in Eq. (1) and mec2 is the rest mass energy of the electron (511 keV). The energy E1 is plotted against E0 for several values of scatter angle in Fig. 2. Eq. (1) shows that the energy of 1801 scatter is mec2/2 when E0 b mec2. 0 340 350 330 320 2.1.1. Angular distribution of compton scatter The angular distribution of Compton scatter from free, stationary electrons is given by the Klein–Nishina cross-section dsKN(y)/dO which, for unpolarized photons, is as follows: " # E2 E1 E0 ð2Þ þ sin2 y dsKN ðyÞ=dO ¼ r02 =2 12 E0 E0 E1 and is expressed in units of m2 sr 1 electron 1. In Eq. (2), r0 is the classical electron radius (2.82 10 15 m) and y is the scatter angle. This cross-section is shown in Fig. 3 for several photon energies. At high energy it becomes increasingly peaked in the forward scatter direction (y-01). At low energy E1 EE0 and the angular distribution in Eq. (2) reduces to the Thomson form of (1+ cos2 y), which is symmetrical about the angle y = 901. 10 1 20 30 40 0.8 310 50 0.6 300 60 0.4 290 70 280 0.2 80 270 0 90 260 100 250 110 240 120 230 130 220 2.1.2. Compton profile Compton’s energy shift formula was derived assuming stationary, free electrons. If the electron is bound (by Coulomb attraction to the nucleus) it is necessarily in motion and this leads to an energy broadening of the Compton scattered line, in analogy to the classical Doppler shift of the signal emitted by a moving source. The core electrons of heavy nuclei move with relativistic speeds: even the bound electron of the hydrogen atom moves at 2.2 10 6 m s 1, corresponding to the hydrogen ground state momentum of 2 10 24 kg m s 1. The shift in frequency of the scattered photon is proportional to the magnitude of the component of electron momentum projected along the direction of the scatter vector, as discussed in standard works (Williams, 1977). The electron momentum, q, for which a photon of energy E0 results in a scattered photon of energy Es at the angle y is q ¼ 137 ½E0 Es E0 =me c2 Es ð1cos yÞ qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi E20 þE2s 2 E0 Es cos y ð3Þ where q is in units of the ground state momentum of the hydrogen atom given above. For q=0 Eq. (3) reduces to Compton’s 140 210 150 200 190 170 160 180 Fig. 3. Dependence of Klein–Nishina cross-section (cf. Eq. (2)) on scatter angle for primary radiation of 10 (outermost curve), 100 and 1000 keV (innermost curve). Cross-section is represented by radius vector, which is expressed in units of r02 . equation given earlier. Tables of free atom Compton profiles J(q) for 1rZr92 have been calculated by Biggs et al. (1975). To give an impression of the magnitude of the Doppler broadening effect, Fig. 4 shows the shape of the Compton peak, derived from the tabulated values, resulting when 100 keV photons undergo 901 scattering from aluminium. The K shell electrons are seen to provide the major contribution to the peak at energies well away from the Compton energy. The full-width at half-maximum height (FWHM) is approximately 1 keV, which is sufficiently wide to allow the peak shape to be resolved using semiconductor detectors. The FWHM increases with increasing scatter angle and photon energy. It should be noted that Doppler broadening of the Compton peak is omitted from several Monte Carlo programs which model photon ARTICLE IN PRESS 996 G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 0.08 0.8 Polyethylene total 0.6 0.4 K shell 0.2 0 75 80 85 Scatter energy (keV) 90 95 Fig. 4. Energy distribution of 100 keV photons inelastically scattered through 901 from aluminium. The full line is the summed peak from all electrons. The dashed line represents the contribution of the K electrons only. Relative scatter intensity Normalized intensity 1 0.06 Lucite 0.04 background 0.02 0.08 0 Relative scatter intensity 55 0.06 Be 57.5 60 62.5 Scatter photon energy (keV) 65 Fig. 6. Inelastic scatter spectrum of polyethylene and Lucite in neighbourhood of W characteristic lines recorded using Compton spectrometer. Data taken from Matscheko et al. (1989). 0.04 Al 0.02 0 55 57.5 60 62.5 65 Scatter photon energy (keV) Fig. 5. Inelastic scatter spectrum of Be and Al in neighbourhood of W characteristic lines recorded using Compton spectrometer. Data taken from Matscheko et al. (1989). transport. Namito et al. (1994) have described a modification to the EGS4 code, to be discussed later (cf. Section 3.2.6), which treats the effects of electron binding and Doppler broadening in a self-consistent way. As expected, the integral over energy of the Compton peak reduces to the Klein–Nishina cross-section. 2.1.3. Material characterization using the Compton profile Although Compton profile analysis using monochromatic radiation sources is a standard technique for determining electron momentum distributions in the solid state, little use has so far been made of the shape of the Compton profile in Compton scatter imaging. The most suggestive work to date on the feasibility of material characterization via Compton profiles excited by X-ray emission from a conventional X-ray source stems from the Compton spectrometer work of Matscheko et al. (1989). Inelastic spectra resulting from 901 scattering of a tungsten anode X-ray tube emission from two metal samples (Be and Al) are reproduced in Fig. 5. Each scatter spectrum is normalized to unit area between the energy limits of 54 and 72 keV; differences in the plots arise purely from line shape variations. A further example of the inelastic scatter spectra reported by Matscheko et al. (1989) from two plastic materials, polyethylene and Lucite is reproduced in Fig. 6. It is recalled that the plots are individually normalized to have equal unit area; hence the significant differences evident between them originate solely in their varying electron momentum distributions. This plot also indicates the continuous bremsstrahlung component, estimated as a straight line fitted to the high energy and low energy sides of the polyethylene peak. An energy resolution of 1.5% at 60 keV for the roomtemperature semiconductor detector CdTe has been reported (Yadav et al., 2005); thus making material characterization based on back-scatter Compton profile imaging a new and exciting possibility. The variation in attenuation coefficient, m, in inhomogeneous objects leads to a non-uniform spatial distribution in the intensity of the transmitted X-ray beam. As noted earlier, X-ray attenuation is often accompanied with the production of secondary radiation. There are thus, in principle at least, two alternative ways of imaging variations in m: either through monitoring the intensity of the transmitted beam or by directly observing X-ray scattering. The interesting possibilities that Compton scatter imaging affords will now be examined in more detail. 2.2. Comparison of scatter and transmission imaging Although there has been considerable technical development over the 100 years since Roentgen’s discovery of X-rays, the principle of transmission radiography has remained unchanged since then. This demonstrates the robustness of transmission radiography, a formidable opponent against which X-ray scatter imaging has to compete. The most significant points of comparison between the two in non-medical radiography are defect contrast; measurement geometry and the system complexity needed for tomographic imaging. These points will be expanded in the next sections. ARTICLE IN PRESS G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 2.2.1. Backscatter measurement geometry Conventional radiography is based on the rectilinear propagation of X-rays from their point of origin, the radiation source, to the detector where they are converted to a measurable signal. This is an example of an ‘‘inline’’ imaging geometry, in which the object under investigation is inevitably located between source and detector. It is clear that such an imaging geometry, while being intuitively simple, cannot be applied to objects of large spatial extent; as the attenuation the X-rays suffer in penetrating the object will prohibit measurement of the transmitted X-ray field. This problem does not occur in the field of medical radiography, as the human body is often fairly symmetric (head, trunk, limbs, etc.) around its long vertical axis. Hence transaxial sections will have approximately the same total attenuation, irrespective of which perspective the section is viewed from. The attenuation problem accompanying radiography of massive objects may be avoided in X-ray scatter imaging by taking advantage of the angular cross-section shown in Fig. 3. The angular cross-section is approximately isotropic at non-relativistic X-ray energies, well below the electron rest mass energy of 511 keV, indicating that it is certainly feasible to place the X-ray source and the detector on the same side of the object as one another. This possibility is without analogue in transmission radiography. It opens the perspective for radiography of objects that would not otherwise be accessible to X-ray imaging. Examples of backscatter X-ray images of historical interest will be presented in Section 5. 2.2.2. Density sensitivity of transmission radiography A second point of comparison between X-ray scatter imaging and transmission radiography refers to their sensitivity to small changes in density in low-density objects. Consider for simplicity a void (Fig. 7) or hole of diameter, w, and zero attenuation coefficient in highly transparent material, such as a piece of fabric. The cloth material is assumed to have an attenuation coefficient, m, much less than that of, say, water. As illustrated in the lower half of the figure, the hole will give rise to a change in the number, N, of transmitted photons. (The detector is assumed to have perfect efficiency.) Then the absolute contrast, i.e. the mean difference in the number of photons reaching the detector along the two ray paths shown is jNhole Nj ¼ N0 expðmLÞwm the difference in attenuation coefficients between the material and air and is often small, e.g. m at 60 keV for cotton fabric is 0.1 cm 1. Hence a 1 mm diameter air porosity at this energy produces a relative contrast of only 1%. 2.2.3. Density sensitivity of Compton radiography Fig. 8 shows a schematic illustration of single-point Compton radiograph in which a beam of mono-energetic photons travels through an object of characteristic dimension, L, composed of material with attenuation coefficient m containing a void of width, w. The radiation signal is recorded in a detector whose angular acceptance is limited by a mechanical collimator (e.g. pinhole aperture). The intersection region of the primary photon beam with the acceptance region of the detector is the sensitive point of the system. If the attenuation coefficient, m, is dominated by the Compton scatter component (see Fig. 1) and the cross-section is assumed to be isotropic (i.e. the photon energy is assumed 5mec2), the signal, S, from the centre of the object into a detector of solid angle DO is mL mL S I0 mw exp ð5Þ exp s DO þM 2 2 where I0 is the flux of photons in the primary beam, w is the length of beam that scatters into the detector and ms is the attenuation coefficient of the material at the energy of the scatter radiation. M represents the multiple scatter component (two or more scatter events). The energy difference between the primary and secondary radiations will be small, following the earlier assumption that the photon energy is 5511 keV; hence ms will be approximated in this section by m. The relative contrast in this case is 2jSSvoid =ðS þSvoid Þj ð6Þ Eq. (6) implies that the relative contrast in the absence of multiple scatter for the arrangement of Fig. 8 is 100%, which is invariably much greater than in transmission imaging. 2.2.4. Tomography with scattered and transmitted X-rays The term ‘‘tomography’’ originally referred to a method of radiological imaging in which a certain 2-D layer of an object is rendered in focus (Gk: tomos= sharp), while non-focal layers are ð4Þ where N0 is the number of photons in the primary beam and it is assumed that the hole is small enough to allow replacement of the exponential form by its linear expansion. The relative contrast of the hole, defined as 2jNvoid Nj=ðNvoid þNÞ, depends from Eq. (4) on µ 997 Radiation source void of height, w Primary beam L Sensitive volume workpiece Object intensity Detector Fig. 7. Ray path through a cavity in an otherwise homogenous medium to illustrate calculation of contrast in transmission imaging. Fig. 8. Schematic illustration of point-by-point arrangement for scatter imaging. ARTICLE IN PRESS 998 G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 blurred through relative movement of X-ray source and detector. Until the development of computed tomography (CT) this was the only method of obtaining radiographs, which showed detail of interest free of the disturbing effects of superimposed structures above or below the plane of interest. The phenomenon of superimposition is fundamental to conventional radiography, in which the degree of darkening at some point, P, on the radiograph is related to the path integral of the linear attenuation coefficient through the object along the line joining P to the radiation source. Computed tomography provides a way of solving a set of projection equations to reconstruct the spatial distribution of m in some thin slice of material. It requires a radiation source and a linear or planar array of detectors, which together rotate around the object such that the reconstructed slice is generally perpendicular to the axis of rotation. In order to avoid artefacts, all the projections must relate to the same object, which must therefore remain stationary during the scan time. A further obvious consequence is that the object slice must be enclosed within a circular scan region; indeed CT works best when the object slice itself is circular. In contrast to CT, which is based on manipulation of projection information, Compton scatter imaging (CSI) registers the scatter signal from a certain volume element (voxel), defined by the intersection volumes of the primary and scatter beams. The geometrical limitation of CT on the shape of the object, which requires that the object be bounded by a circle, is not present in scatter imaging. Hence CSI allows a much broader class of objects to be examined than CT and in many cases yields information, which is unavailable with transmission radiographic techniques. Compton scatter excited by radiation whose energy is low relative to the electron rest mass energy is emitted substantially in all directions (cf. Fig. 3). Hence the detector may be placed in any desired position relative to the radiation source and scattering object. The free choice of measurement geometry in CSI leads to a possibility, excluded in CT, of monitoring the backscattered radiation from voluminous or strongly absorbing material. In this way, images of superficial regions of a bulky object may be obtained, as illustrated by the depth-resolved images through a mediaeval fresco presented in Fig. 12. For these reasons Compton scatter offers an attractive alternative to X-ray transmission when tomographic information about the scattering medium is required. We now describe some typical measurement configurations for Compton scatter imaging and their strengths and limitations. 3. Compton X-ray scatter imaging techniques 3.1. Compton imaging topologies In the absence of reflection or refraction phenomenon (the refractive index of all materials for diagnostic energy X-rays is a few parts per million less than unity) a measurement of the spatial distribution of scatter radiation can only be performed using some kind of mechanical collimation. Several different possibilities, using various configurations for the primary and scatter beam geometries, have been reported over the years. These possibilities are categorized below according to the number of scatter voxels that are simultaneously measured. 3.1.1. Point-by-point imaging Of historical importance is the point-by-point imaging scheme used originally by Lale (1959) and illustrated in Fig. 8. Absorbing apertures collimate radiation from the source to form a primary (‘‘pencil’’) beam, which approximates a 1-D line travelling in the Z direction. A single detector unit (e.g. scintillator/photomultiplier combination) is arranged to record scatter radiation through a collimator, which focusses down to a point in the XZ plane. This system measures sequentially the scatter from a series of points lying along the Z axis; hence provision must be made to move the object in the XZ plane to derive a 2-D raster slice image. In addition to the complicated mechanics the system is dose inefficient, as material along the line of the primary beam receives radiation dose irrespective of whether its scatter is recorded or not. It is instructive to consider in the point-by-point imaging case the increase in measurement time, T, which accompanies an increase of the spatial resolution with which an object is to be imaged (e.g. from 2 2 2 mm3 to 1 1 1 mm3). We assume that the object is partitioned into cubic voxels of edge length, w, and that the number of scatter photons measured from each voxel is constant to maintain a constant signal-to-noise ratio. First the cross-sectional area of the primary beam and thus the solid angle subtended by the beam at the source varies as w2. Moreover the scatter signal depends from Eq. (5) on the length of the beam (in the propagation direction) viewed by the detector through the secondary collimator, which varies as w1. Similarly the number of voxels that have to be sequentially addressed in a fixed volume of the object varies as w 3. Finally an increase in the spatial resolution of the scatter collimator can generally be obtained only by reducing the solid angle it subtends at the beam. These considerations imply that the measurement time T varies approximately as w 7 if the source radiance and the contrast discrimination remain constant. It should be noted that a similar relationship holds for computed tomography (CT). The only practicable ways of reducing measurement time are to increase the radiance of the source, the area of the detector, or both. The study of high power X-ray sources and cheap, large area detectors, is almost obligatory to those involved in the development and exploitation of X-ray scatter imaging techniques. In the next section we consider ways of reducing the measurement time by effectively increasing the detector area. 3.1.2. Line-by-line imaging It was shown above that the point-by-point imaging scheme makes poor use of the available scatter and therefore results in lengthy measurement procedures. As a further development, the scatter from each voxel irradiated by the primary beam may be measured simultaneously using a linear detector array, as developed for CT and other applications. Typical collimating elements for the scatter radiation are either a series of plane lamella, such that each element of the detector array ‘‘sees’’ through the collimator its own region of primary beam (corresponding to the multi-channel collimator of radionuclide imaging) or a slit, whose extension in a plane perpendicular to the primary beam direction is much greater than in the parallel direction. The efficiency and spatial resolution characteristics of multi-hole and pinhole collimators in nuclear medicine have been discussed by Barrett and Swindell (1981). Owing to the usual obliquity effect the pinhole is inferior to the multi-hole if it subtends a large angular range (greater than, say, 451) at the source of scatter. Otherwise the pinhole offers several advantages in practice. These include (a) a variable choice of magnification; (b) simplicity of manufacture for high resolution (sub-millimetre) imaging; (c) reduction of secondary scatter from the collimator at high photon energies through judicious shaping of the sides of the pinhole; (d) the possibility of adapting the collimation scheme to reduce attenuation effects (see below); and (e) incorporation of a multiple scatter grid in the collimator between the pinhole and the detector. The ComScan device which will be described in Section 4 incorporates for these reasons a slit collimator. ARTICLE IN PRESS G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 object pinhole radiation source 999 The method has in practice several drawbacks. The need for monochromatic primary radiation restricts the method to radionuclide sources (137Cs at 660 keV is frequently used) and this leads to long measurement times. The limited energy resolution of practical detectors (commonly Germanium) and incomplete energy conversion within the detector, owing to photons leaving the detector as Compton scatter or fluorescence radiation, both complicate the relationship between the measured energy spectrum and the object density profile. The detector must accept scatter over the whole field of view that is to be imaged and hence multiple scatter is significant. The images derived from this technique display considerable noise and have a spatial resolution around 1 cm. For these reasons there has been little activity in the field of energy-coded scatter imaging. 2-D detector 3.2. Densitometry with scattered X-rays Fig. 9. Schematic illustration of plane-by-plane arrangement for scatter imaging. 3.1.3. Plane-by-plane imaging Owing to the ready availability of commercial 2-D detectors (e.g. X-ray film, image intensifier/TV chain or the Anger-type gamma camera used in radionuclide imaging) several workers have presented scatter images derived using simple pinhole collimation optics as depicted in Fig. 9. Harding (1985) presented sectional images of various aluminium castings, whereas Guzzardi and Licitra (1988) examined the utility of Compton scatter imaging for monitoring lung function and disease. Common to the sets of images presented by both groups is the attenuation effect, which shows itself as an intensity gradient on which image detail is superimposed. The situation can be partially remedied by arranging for the object to be illuminated from opposite sides, which reduces primary attenuation artefacts, and using two detector systems that similarly compensates to some extent for attenuation of the scattered radiation. The plane-by-plane measurement configuration is very easy to set up and readily provides moving images (e.g. of the heart) when a dynamic detector is used. However, it is not in current favour for the following reasons. In spite of the large detector area, it is no more sensitive than the line-by-line technique, as the increase in the number of picture elements it offers exactly offset by the lower solid angle of the pinhole compared to the slit collimator. Further there is no possibility of discriminating with mechanical collimation against multiple scatter radiation. Finally areal detectors are, at least at present, more expensive than their 1-D counterparts, although this situation may change when large area dynamic detectors based on amorphous Si arrays become commercially available (Antonuk et al., 1994). 3.1.4. Energy-coded scatter imaging The final method of scatter imaging that will be described here relies on the Compton relationship (Eq. (1)) between the angle of scatter, y, and the energy, E1, to which the primary radiation of energy E0 is shifted. If an object is irradiated by a well-collimated beam of monochromatic primary radiation, it is possible in principle to determine the point of origin of scattered photons of energy E1, since these must travel along a path to the detector which makes an angle of y to the primary beam. If a small energyresolving detector is arranged to monitor the emergent scatter, its energy spectrum is thus related to the density profile of material in the path of the primary beam. Position information in the object is encoded, through the scatter angle, in the energy spectrum of the scatter. This method and preliminary results were first presented by Farmer and Collins (1974). The ultimate goal of radiography is not just to give a qualitative image of the morphology of the object in which structures may be visually recognized, but to provide the quantitative spatial distribution of some well-known physical parameter such as linear attenuation coefficient, m, density, r, etc. The multiple scatter component (Eq. (5)) has so far been ignored, representing the effect of photons liberated along the primary beam ray path that are multiply scattered in the rest of the object and emerge from it along the path of the secondary radiation. It is clear that, whereas spatial definition of the sensitive volume element is straightforward, the relationship between measured signal and the electron density is complicated. We now examine various techniques for determining the attenuation factors. 3.2.1. Numerical corrections for attenuation effects As discussed previously, at the photon energies typically used for X-radiography, Compton scattering is the predominant contribution to the total attenuation coefficient. In this case both S and m in Eq. (5) depend only on the electron density and the following simple attenuation correction suggests procedure itself. Consider one corner of a 2-D slice through an object. Let the slice be segmented into voxels (i, j) which are small enough that m is practically constant in each of them. We assume that the set of scatter signals S(i, j) has been measured. Then the electron densities re(i, j =1) of the top row of voxels (nearest the source and detector) can be determined from Eq. (5) since they represent the surface of the object and are thus not affected by attenuation. Knowing the scatter coefficient for this row of voxels allows the primary and secondary attenuation they induce in the scatter signals of the second row to be calculated. This procedure can be repeated for as long as is judged worthwhile. In practice there are two limitations. First the statistical uncertainty in the scatter signal leads to an error in estimation of the attenuation. This error exceeds the pure photon noise error source when mL41, where L is the combined length in the object of the primary and scatter radiations. Second there is a systematic error which arises through neglect of the multiple scatter term, M. The effect of this is to overestimate the attenuation factors, leading to an exponential increase in the derived value of electron density. Naturally some approximate information on the dependence of multiple scatter on the object geometry can be incorporated into the correction procedure, this information being derived from measurement data, theoretical considerations or the results of Monte-Carlo simulations (see Section 3.2.6). Nevertheless, as a rule of thumb, quantitative data from scatter measurements obtained by numerical correction procedures should be seriously questioned if the mLo1 condition is not satisfied. ARTICLE IN PRESS 1000 G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 3.2.2. Dual energy determination of attenuation factors Owing to the limitation of numerical correction procedures to small objects (mLo1) or object regions close to the surface, several investigators have examined the potential of ‘‘dual energy’’ techniques for attenuation correction (Huddleston and Weaver, 1983; Harding and Tischler, 1986). ‘‘Dual energy’’ refers to the measurement of two scatter signals under identical geometric conditions using primary beams of different (mean) energy El and Eh, where the subscripts l and h refer to ‘‘low’’ and ‘‘high’’ energy, respectively. The two energies may be provided by a single radionuclide (e.g. gadolinium-153 with Eg = 41 and 100 keV) combined with energy-sensitive detection or, from a bremsstrahlung source, by altering the X-ray tube potential, or by the use of source or detector filtering schemes. The dual energy technique is based on the physical fact that for photon energies in the range 30 keVrEr150 keV the linear attenuation coefficient of a material with 1rZ r20 may be parameterized to an accuracy of 0.5% using a linear combination of only two terms, i.e. mðEÞ ¼ aC fC ðEÞ þ ap fp ðEÞ ð7Þ The functions fC and fp containing the energy dependence of m can be chosen according to convenience: they are frequently assumed to refer to Compton scattering and photoelectric absorption. In this case the material-specific coefficients aC and ap are identified with the local electron density and mean atomic number (raised to some power), respectively. Provided that multiple scatter (Eq. (5)) is known or negligible and that the ratios of El0 /El and Eh0 /Eh (the primes refer as above to Compton shifted energies) are approximately equal, Eqs. (5) and (7) indicate that there are three unknowns, i.e. the electron density, the Compton and the photoelectric components of the total attenuation. The two scatter signals Sl and Sh obtained at low and high mean photon energy provide sufficient information to allow two of these unknowns to be measured (Harding and Tischler, 1986). 3.2.3. Multiple scatter Whenever the optical thickness m, L of an object is comparable to or greater than unity (m is the linear attenuation coefficient and L a typical width characterizing the object) the probability is significant that there is a multiple scatter contamination of the single scatter signal. Eq. (1) gives the Compton relationship for single scatter between the angle of scatter, y, and the energies E0 and E1 of the primary and scatter radiation. If a photon is deflected in n steps through a total scatter angle of y, it is easy to show that its maximum energy is En ðyÞ ¼ E0 E0 n ½1 cosfy=ng 1þ me c2 ð8Þ The symbols in Eq. (8) have their usual meanings. It indicates that multiple scatter can have significantly higher energy than single scatter deflected through the same angle: for the case of large n, the cosine term reduces to unity and En(y)EE0. It is often impossible to distinguish on the basis of photon energy between (Doppler-broadened) single scatter and multiple scatter. Hence an account is now given of the degrading effect of multiple scatter in Compton scatter imaging and some of the ways it may be corrected for or otherwise taken into account. Consider a body of uniform density, r, which yields a total signal made up of a single scatter S1 and multiple scatter Sm contribution. In the presence of a small defect of density r0 the single scatter component changes but the multiple scatter remains unchanged. The relative contrast, Cm, of the defect in the presence of multiple scatter radiation is related to its undegraded contrast, C, by Sm Cm ¼ C 1 St ð9Þ According to Eq. (9) the apparent contrast in the presence of multiple scatter is reduced relative to the true object contrast by the factor S1/St, often abbreviated to STSR, the single-to-total scatter ratio. It is therefore very important to be able to quantify and hence maximize the STSR of a certain measurement if reliable statements of the true object contrast are to be made and the measurement time is to be reduced. There is a vast body of literature on inelastic X-ray scatter imaging and analysis. The interesting question arises as to the how the degree of multiple scatter contamination in the total scatter signal is generally determined. Perusal of the many articles available reveals that the overriding tendency has been to ignore multiple scatter in the hope that its effects will not be too serious. Neglect of multiple scatter is only justified in measurement geometries for which the probability is small that the primary radiation will be scattered at all in the object, i.e. mLo1. When this is not valid, recourse must be made to one of the following approaches. 3.2.4. Multiple scatter reduction The problem of X-ray scatter contamination of transmission radiographs is well-known. The simplest way to reduce scatter is to use the fact that, whereas the transmitted X-rays originate from a point-like focus, the scattered radiation has its effective origin inside the patient. Hence by arranging for a grid, comprising many narrow channels which converge at the tube focus, to be placed between patient and detector, the angular acceptance of the detector to X-ray scatter can be radically reduced. In exactly the same way, use can be made of the fact in X-ray scatter imaging that the single scatter originates in the primary beam. Hence a grid composed of many lamellae which intersect at the primary beam is an effective means of increasing the STSR in a line-by-line imaging system (cf. Section 3.1.1). As confirmed by experiment and in accord with expectation, the degree of reduction is simply proportional to the number of lamella, or inversely proportional to the angular acceptance of the detector. It is evidently advantageous to arrange for the primary beam to have low cross-sectional dimensions so that the angular acceptance of the multiple scatter grid can be made small without absorbing the desired single scatter radiation. One limitation of mechanical collimation as a means of reducing the multiple-to-single scatter ratio is that it requires fixed beam-detector geometry. This is a problem for those systems (such as ComScan), which scan the object with a beam deflection mechanism. Hence we now consider ways to numerically correct the total scatter signal for the effects of multiple scatter. 3.2.5. Multiple scatter calculation A very general (and usually correspondingly complicated) approach to scatter problems is formal transport theory based on the Boltzmann equation. Originally developed in connection with the kinetic theory of gases, the Boltzmann equation describes the temporal development of a phase space distribution function involving the momentum and position co-ordinates of a photon. A discussion of the application of the Boltzmann equation to radiological problems is given by Barrett and Swindell (1981). The equation is tractable only when major simplifying assumptions can be made, e.g. that each photon is scattered many times with negligible energy loss. For this reason calculations based on the Boltzmann equation of multiple scattering in the Compton regime covered by this review have not been attempted. ARTICLE IN PRESS G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 3.2.6. Multiple scatter modelling The most frequently used approach to derive numerical values of the STSR is through Monte-Carlo modelling. In this approach the path of each photon through the (generally inhomogenous) medium is simulated using distribution functions based on random number generators to determine such collisional parameters as the type of interaction (Compton, pair production, photoeffect, etc.), the polar and azimuthal angle of the scattered particle (photon or Compton electron) and the track length to the next interaction. Of the several Monte Carlo codes that are available one of the most widely used is EGS (electron gamma-ray shower). It is not possible to go into any details of the code, which is described in numerous publications (Nelson et al., 1985). 4. Description of ComScan system The preceding sections have considered the physical principles on which Compton scatter imaging (CSI) is based. The next sections illustrate these principles and the development from them of a commercial CSI system—the ComScan marketed by Yxlon International GmbH—which is illustrated in cross-section in Fig. 10. Finally, images derived from some applications of historical interest are presented. 4.1. General considerations Since radiography is a mature technique, which is widely applied in non-destructive testing (NDT) it was decided to exploit those features of X-ray Compton scattering imaging that have no analogue in transmission imaging. The first of these is the availability of scatter radiation in all directions (cf. Fig. 3). Since transmission radiography inevitably locates the object between the radiation source and sensor it was decided to develop a backscatter technique, which would be able to image superficial regions of massive objects, whose sheer bulk precludes the possibility of transmission imaging. Structure under investigation Collimation slit Detector array x-ray tube Fig. 10. Cross-section through ComScan measurement head perpendicular to primary beam deflection direction showing 22 element detector array, primary beam channel, deflector unit and scatter collimation slit. 1001 Secondly, the decision was made to perform 3-D localization of structures in the scattering medium, rather than just measuring the total back-scatter flux, as implemented by other workers (Towe and Jacobs, 1981). The use of a fine primary beam (crosssectional dimensions are 0.5 mm 0.5 mm) reduces the uncertainty in the position of a scatter voxel to 1-D; hence it is only necessary to image the scatter by means of a collimation element (cf. Section 3.1.1) onto a detector array with spatial resolution to uniquely relate the signal from a certain detector element with the 3-D location of the scatter voxel. Finally the preferred realisation of ComScan was as a compact measuring head, which could be affixed to a regular industrial X-ray tube. The head (Fig. 10) was designed to contain the major components of the scatter imaging device, i.e. primary beam deflector, detector array and collimator for the scatter radiation. A more detailed discussion of these components will now be given. 4.1.1. Radiation source The radiance (photons per unit source area emitted into unit solid angle per second) of a commercial X-ray tube is several orders of magnitude greater than that of practical radionuclides. This increased photon flux directly translates into reduced measurement time. The ComScan system is generally supplied with an x-tube having a maximum potential of 160 kV. The mean photon energy when the tube is operated at this voltage depends on the degree of filtering but is typically 60 keV. The photon radiance of a conventional (reflection geometry) W anode tube operated at 160 kV is approximately 10 13 photons s 1 mA 1 sr 1. 4.1.2. Primary beam collimation The primary beam diaphragm has to provide a finely collimated beam which can be linearly scanned over a distance of 60 mm at the object with a scan frequency of up to 10 lines per second. Moreover the scan mechanism must be compact enough to fit into the ComScan head and provide high absorption even for 160 kV radiation. The traditional solution to this problem—the Nipkow disc—proved too bulky and instead an arrangement of two coaxial rotating cylinders, each equipped with diametrically placed helical slits, was developed. The flux of photons in the primary beam (cross-sectional dimensions of 0.5 mm 0.5 mm) is approximately 2 10 9 s 1. 4.1.3. Detector array In order to maximize the detector solid angle while allowing for the linear scan movement of the primary beam, each detector element is a scintillator strip of 60 mm length (parallel to the deflection direction) by 2 mm depth, to provide high stopping power, by 1 mm effective thickness in the vertical direction. Owing to the high refractive index and superb optical quality with which inorganic scintillators can be grown, the scintillator crystal acts effectively as its own light guide, transporting scintillation light to the two small end faces. Each scintillator crystal is glued at these faces to plastic fibre light-guides, which transfer the scintillation light to a photomultiplier. There are two arrays of detector elements, each containing 11 elements, arranged on either side of the primary beam as shown in Fig. 10. The vertical separation of adjacent elements is 1.5 mm. The two arrays are displaced by one half of this value from one another to provide detector signals sampled at double the spatial frequency. It is then possible to process these signals to increase the spatial resolution and reduce aliasing effects. ARTICLE IN PRESS 1002 G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 4.1.4. Scatter collimation It is a design specification of the ComScan to image structures to a maximum depth of 50 mm with a variable spatial resolution of at best 0.5 mm in all three dimensions. To fulfil these requirements ComScan is equipped with a set of two scatter collimators, providing a magnification, which varies from 3 (5 mm object depth) to 1/3 (50 mm object depth). The scatter collimators are wedge-shaped and provide a slit opening of 50 mm length having a width dependent on the magnification factor. They are manufactured from a tungsten alloy material and it is a fairly easy job to change from one set of collimators to the next when the magnification or field depth is to be changed. 4.2. Data acquisition and processing The X-ray pulses recorded by the photomulipliers are amplified, shaped and counted in 22 memory buffers for 0.25 mm increments in the position of the primary beam as it sweeps out a linear path. The acquisition time is typically 2 ms per voxel (22 voxels are measured simultaneously) corresponding to 0.25 s for a 2-D slice and approx. 2 min for a 3-D data set comprising 512 such slices. As a standard procedure the data are rearranged to provide 22 slices lying in planes perpendicular to the propagation direction of the primary beam and with increasing depth into the structure being investigated, each slice image having 512 256 pixels. Various display and data processing options can be applied to the data. The former include a variable look-up table (LUT) to relate the number of photons measured from a voxel to a grey scale or a pseudo-colour scale. Among the data processing options are image smoothing and enhancement schemes and some quantitative algorithms for determining statistical properties of the image (lengths, areas, mean photon number, standard deviation, etc.). All of the images presented in this review employ standard data resorting yielding object slices, which are perpendicular to the plane of the drawing in Fig. 10. 5. Historical applications of ComScan It is not the intention here to give an overview of all the applications which ComScan has found in the field of nondestructive testing (NDT): these are published in specialist ComScan reports obtainable from Yxlon Industrial X-ray, D-22315 Hamburg. Instead we highlight the significance of an interdisciplinary approach by presenting some applications of ComScan in the fields of archaeology, art and culture. Some of this material has been presented elsewhere (Niemann, 1993). The aim of this section is to exemplify the application of scientific tools to historical research. However, strictly speaking pre-modern historiography, pre-historic history and archaeology are separate academic disciplines and therefore have their own individual methodologies. For many years, written sources, such as books, letters or other paperwork, functioned as cultural history’s sole source. Recently, however, artefacts and their symbolic displays have been increasingly emphasized. Paintings and other craftworks are not seen merely as representing an art style or epoch but are examined in their historical context. This includes a growing interest in a craftwork’s symbolic pattern as well as the dimension of how it originated in and impacted on political formations. In order to explore the historical significance of a work of art, questions are being raised such as: who commissioned it; why was it commissioned; in what context was it employed; or where was the object positioned? This perspective aims to give a more precise idea of the use and interplay of visual signs and human interaction. As a result of this shift, current research considers early modern, medieval or ancient meeting places with a focus on exchanged gifts, banquets, architectural arrangements of court halls; as well as burials and donated grave offerings, to list just a few examples (Burke, 2001; Duindam, 2003; Roeck, 2004). 5.2. History and natural sciences However, historical research has to rely on other academic disciplines when seeking a comprehensive understanding of historical contexts. Though written sources often give an insight into the origins and history of artefacts, background information cannot always be retrieved by consulting written material stored in archives. Especially when dealing with pre-literate epochs, natural sciences such as bio-chemistry and physics help to explore and reveal hidden aspects (Eggert, 2005). When applied to art or cultural artefacts, analytical techniques developed in the natural sciences can determine the materials and technologies of fabrication as well as charting chronological modifications. In this sense, the natural sciences provide tools to conservators and academic scholars, enabling them not only to explore history, but also to restore it. 5.3. Applications and interpretations The Compton back-scatter technique (ComScan) is an example of a tool from physical sciences that has been applied to historical artefacts. Fig. 11 illustrates a scene from a fresco on the second 5.1. Scientific approaches to history Modern historiography, influenced by an increasing awareness of cultural changes in today’s society, focuses on various forms of interaction as a key to understanding social values, norms and identities. It tries to uncover how pre-modern social order, rank und distinction was manifested and renewed in interaction by not only examining how distinguished individuals (e.g. politicians or sovereigns) demonstrated their power, but also by looking at the everyday life of different communities. To a great extent social boundaries and cultural conflicts between groups result from conflicting value systems. Categories of self-perception and how they are visually expressed are therefore important subject matters historians need to deal with, allowing modern societies and the various issues they are facing to be understood in a more profound way (Muir, 2005; Burke, 2004; Stollberg-Rilinger, 2004). Fig. 11. Application of ComScan to restoration of damaged fresco. ARTICLE IN PRESS G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 floor (Landgrafenzimmer) of the Wartburg castle in Eisenach, Germany. The Wartburg, included in the World Heritage List since 1999 and famous for visitors such as Luther and Goethe (Schuchardt, 1996), not only counts as one of Germany’s most picturesque castles but was also a central lieu de mémoire in Germany’s 19th Century strive for national identity (Etienne, 2001). In this period, its owner, Grand Duke Carl Alexander von Sachsen-Weimar-Eisenach (1818–1901) undertook extensive restorations and reconstructions (Schall, 1993) in the Landgrafenzimmer and other parts of the building. The duke explained his motives with the following remark (in translation): ‘‘My wish is to refashion the Wartburg as a museum of our dynasty, of our country, and moreover of all of Germany’’. However, these modifications have to be seen in the light of their time (Nipperdey, 1976). This is notably true for the frescos by Moritz von Schwind (1804–1871), which were influenced by contemporary—and, from today’s perspective, inaccurate-conceptions of mediaeval times. After having been neglected for many centuries, the castle now was regarded as a medieval monument documenting the roots of a German identity. Hence, von Schwind was commissioned to revive the middle ages according to an idealised, contemporary picture of the past. But the frescos he created, like those of the legends of the castles’ origins (1854), which can be found in the Landgrafenzimmer, resulted from nothing more (nor less) than an invention of tradition (Hobsbawm, 2007). Modern historiography tries to uncover these inventions, not primarily to expose them but in order to understand concepts of Fig. 12. (Cf. Fig. 11) False-colour scatter images at depths into wall of 2, 4 and 8 mm from left to right showing depth dependence of texture. 1003 identity and mechanisms by which social groups were and are formed (Etienne, 2001). As evident in Fig. 11 some parts of the fresco have been damaged by moisture. To the right of the figure can be seen the ComScan measuring head. Fig. 12 shows section images at three depths into the wall. The first section on the left of the figure is within the pigment layer of the fresco. The other two images show the transition from a fine-grain plaster (centre) to a coarse-grain cement (right). In this way it is easy to determine which kind of technique the craftsmen originally used for the fresco. Images similar to those shown in Fig. 12 helped to locate a large stone and a surrounding fissure in the cement through which moisture was attacking the fresco. Applied to this fresco, ComScan can assist in protecting cultural heritage. Besides contributing to ‘‘restoring history’’, further research will examine what materials and techniques were used in the attempt to create a supposedly medieval surrounding, this attempt itself providing valuable information on the relationship of Grand Duke Alexander and von Schwind to the mediaeval society they sought to portray. However, applying this method to layers hidden behind the fresco seems even more profitable. Behind the fresco we encounter periods in history with hardly any written sources. Here finally, this method enables sparse source material to be supplemented; allowing thus, to raise and approach questions as to how architecture and the symbolic arrangements of a room defined social interaction and order. Fig. 13 shows a sagittal section through a mummified body from Central Africa. One interesting feature of ComScan is its ability to image directly sagittal sections (parallel to the long axis of the body) in contrast to computed tomography, which yields only transaxial sections. In order to image the body at such high spatial resolution several hundred transaxial sections would have to be measured which is both exceedingly costly and time-consuming. As part of the preservation process the body is wrapped in layers of cloth. These layers reveal themselves as the linear and folded structures visible in the image. The shapes and thicknesses of these layers of cloth allow conclusions to be drawn on the geographical origin and social ranking of the mummified body. Fig. 14 is a false-colour image of a mediaeval bronze clasp (approx. 5 cm diameter) that was typically used to bind together the two corners of a cloak around the shoulders. The bronze has corroded at the surface, thus preserving bits of cloth in the interior of the clasp. An X-ray transmission study was performed at high energy (120 kV) in order to penetrate the bronze: no internal structure of the textile in the clasp could be seen. With ComScan useful details of the internal structure of the cloth became apparent. Both examples illustrated in Figs. 13 and 14 supply information for further research when examining social order in pre-modern times. ComScan can contribute to specify the geographical Fig. 13. Sagittal section image through Central African mummified body, showing several layers of textiles. ARTICLE IN PRESS 1004 G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 References Fig. 14. False-colour CSI image of one section through a mediaeval bronze clasp—Radkopfnadel—(Schleswig, 2007). provenance of the mummy and clasp as well as different materials used in their manufacture. This in turn helps to identify areas of distribution—information of great importance with regard to exploring social identities and ethnic backgrounds of social groups in pre-historic and early medieval times. In a broader approach this information would enable historians to identify various medieval strategies of demonstrating prestige and power by means of clothes and symbols. This might be even more the case if, as in the case of artefacts such as clasps, weaponry or horses, an analysed object turns out to be a grave offering. Though written sources are generally lacking, research on early medieval times has suggested that these gifts or offerings, too, had a social dimension; not only before a person’s death but also in the event of burial (Brather, 2004; Haerke, 2001). 6. Conclusions Compton scattered X-rays have been used as the basis for a radiological imaging modality having the following, unique characteristics: high contrast resolution, sufficient to resolve the weaving pattern in ancient fabric (Fig. 13); direct 3-D spatial resolution of structures inaccessible to computed tomography (Fig. 12); and a reflection geometry (Fig. 10) allowing images to be acquired with a compact measuring head which integrates both X-ray source and detector unit. The use of room-temperature spectroscopic detectors to perform energy analysis of the back-scattered characteristic tungsten lines, broadened by material-dependent Comptonprofile effects, may possibly offer a new dimension of information in Compton scatter imaging. The ComScan back-scatter imaging device described here has been applied as a tool for interdisciplinary historical research. Its results exemplify ways in which scientific information gleaned from historical artefacts may lead to deeper insights into various forms of cultural interactions, as a key to understanding social values, norms and identities. It is the authors’ modest hope that this work will encourage other natural scientists and historians, in particular, to engage in interdisciplinary research to the benefit of their respective communities. Acknowledgements The co-operation of the Wartburg Stiftung for Figs. 11 and 12 together with that of the Landesmuseum Schleswig for Figs. 13 and 14 is warmly acknowledged. Adil, N., 1977. The measurement of concrete density by back-scattered gamma radiation. Br. J. NDT, 72–77. Antonuk, L.E., Boudry, J., Huang Wm Lam, K.L., Morton, E.J., Haken, T., Yorkston, J., Clinthorne, N., 1994. Thin-film, flat-panel, composite imagers for projection and tomographic imaging. IEEE Trans. Med. Imaging 13, 482–490. Arkhipov, G.A., Golukov, E.G., Sukhanova, K.A., 1976. Using scattered gamma radiation for detecting sub-surface defects in metal. Sov. J. NDT 12, 272–275. Barrett, H.H., Swindell, W., 1981. Radiological Imaging, vol. 1. Academic Press, New York. Bayly, G., 1962. Fog density measurement by X-ray scattering. Report CRRP-1086, Atomic Energy of Canada, Ontario, Canada. Berger, M.J., Hubbell, J.H., 1987. XCOM: photon cross-sections on a personal computer. National Bureau of Standards Document, NBSIR 87–3597. Biggs, F., Mendelsohn, L.B., Mann, J.B., 1975. Hartree–Fock Compton profiles for the elements. At. Data Nucl. Data Tables 16, 201–309. Bohm, D., 1966. Quantum Theory. Prentice-Hall, New York. Brather, S., 2004. Ethnische Interpretationen in der frühgeschichtlichen Archäologie. In: Reallexikon der germanischen Altertumskunde, vol. 42, Walther de Gruyter, Berlin. Bukshpan, S., Kedem, D., Kedem, Dr., 1975. Detection of imperfections by means of narrow beam gamma scattering. Mater. Eval. 33, 243–245. Burke, P., 2001. Eyewitnessing the Uses of Images as Historical Evidence. Cornell University Press, Ithaca, NY. Burke, P., 2004. What is Cultural History. Polity, Cambridge. Charbucinski, J., Mathew, P.J., 1982. A backscatter gamma ray spectrometric method for the determination of ash in coal. Nucl. Instrum. Methods 193, 269–273. Christensen, E.R., 1972. Monte-Carlo calculations for the surface gamma density gauge. Nucl. Eng. Des. 22, 342–347. Cooper, M.J., 1985. Compton scattering and electron momentum determination. Rep. Prog. Phys. 48, 415–481. Duindam, J., 2003. Vienna and Versailles: The Courts of Europe’s Dynastic Rivals. Cambridge University Press, Cambridge pp. 1550–1780. Eggert, M.K.H., 2005. Prähistorische Archäologie, Methoden und Konzepte. Francke, Tübingen. Etienne, F., 2001. Die Wartburg. In: Hagen, S. (Ed.), Deutsche Erinnerungsorte, vol. 2. Beck, München, pp. 154–170. Farmer, F.T., Collins, M.P., 1974. A further appraisal of the Compton scattering method of determining anatomical cross-sections of the body. Phys. Med. Biol. 19, 808–818. Gautam, S.R., Hopkins, F.F., Klinksiek, R., Morgan, I.L., 1983. Compton interaction tomography: feasibility study for application in earthquake engineering. IEEE Trans. Nucl. Sci. NS-30, 1680–1684. Guzzardi, R., Licitra, G., 1988. A critical review of Compton imaging. CRC Crit. Rev. Bioeng. 15, 237–268. Haerke, H., 2001. Cemeteries as places of power. In: de Jong, M. (Ed.), Topographies of Power in the Early Middle Ages. Brill, Leiden, pp. 9–30. Harding, G., Strecker, H., Tischler, R., 1984. X-ray imaging with Compton scatter radiation. Philips Tech. Rev. 41, 46–59. Harding, G., 1985. X-ray scatter imaging in non-destructive testing. Int. Adv. NDT 11, 271–295 (Gordon and Breach: New York). Harding, G., Tischler, R., 1986. Dual energy Compton scatter tomography. Phys. Med. Biol. 31, 477–489. Harding, G., Harding, A., 2007. X-ray diffraction imaging for explosives detection. In: Yinon, J. (Ed.), Counterterrorist Detection Techniques of Explosives. Elsevier, London. Hobsbawm, E.J., 2007. The Invention of Tradition. Cambridge University Press, Cambridge. Huddleston, A.L., Weaver, J.B., 1983. Dual energy Compton scatter densitometry. Int. J. Appl. Radiat. Isot. 34, 997–1002. Lale, P.G., 1959. The examination of internal organs using gamma ray scatter with extension to megavoltage radiotherapy. Phys. Med. Biol. 4, 159. Matscheko, G., Carlsson, G.A., Ribberfors, A., 1989. Compton spectroscopy in the diagnostic X-ray energy range: effects of scattering material and energy resolution. Phys. Med. Biol. 34, 199–208. Muir, E., 2005. Ritual in Early Modern Europe, second ed. Cambridge University Press. Namito, Y., Ban, S., Hirayama, H., 1994. Implementation of the Doppler broadening of a Compton-scattered photon in the EGS4 code. Nucl. Instrum. Methods A 349, 489–494. Neitzel, U., Kosanetzky, J., Harding, G., 1985. Coherent scatter in radiographic imaging: a Monte Carlo simulation study. Phys. Med. Biol. 30, 1289–1296. Nelson, W.R., Hirayama, H., Rogers, D.W.O., 1985. The EGS code system: computer programs for the Monte Carlo simulation of electromagnetic cascade showers (version 4), Stanford Linear Accelerator Center Report Number SLAC-256. Niemann, R., 1993. Neuartige Anwendungen der Compton-Rückstreutechnik ‘ComScan’ in der Archäologie und Denkmalpflege, DGZfP-Tagung, GarmischPartenkirchen. Nipperdey, T., 1976. Nationalidee und Nationaldenkmal in Deutschland im 19. Jahrhundert. In: Gesellschaft, Kultur, Theorie. Gesammelte Aufsätze zur neueren Geschichte, Vandenhoeck & Ruprecht, Göttingen, pp. 133–173. Roder, F.L., Van Konynenburg, R.A., 1975. Theory and application of X-ray and gamma ray backscatter to landmine detection. US Army Mobility Equipment Research and Development Center, Report 2134. ARTICLE IN PRESS G. Harding, E. Harding / Applied Radiation and Isotopes 68 (2010) 993–1005 Roeck, B., 2004. Das historische Auge. Kunstwerke als Zeugen ihrer Zeit. Von der Renaissance zur Revolution. Vandenhoeck & Ruprecht, Göttingen. Schall, P., 1993. Zur Entstehungs-und Restaurierungsgeschichte der WartburgFresken Moritz von Schwinds, Wartbuch-Jahrbuch 1992, Eisenach, pp. 27–38. Schleswig, 2007. Schriften des Archäologischen Landesmuseum. Wachholz, Neumünster. Schuchardt, G., 1996. Der Aufenthalt Martin Luthers auf der Wartburg 1521/22. Ereignis und Nachwirkung, Wartburg-Jahrbuch, Sonderband, Eisenach, pp. 149–153. Stokes, J.A., Alvar, K.R., Corey, R.L., Costello, D.G., John, J., Kocimski, S., Lurie, A., Thayer, D.D., Trippe, A.P., Young, J.C., 1982. Some new applications of collimated photon scattering for nondestructive examination. Nucl. Instrum. Methods 193, 261–267. 1005 Stollberg-Rilinger, B., 2004. Symbolische Kommunikation in der Vormoderne. Begriffe-Thesen-Forschungsperspektiven. Zeitschrift für Historische Forschung 31, 489–527. Towe, B.C., Jacobs, A.M., 1981. X-ray Compton scatter imaging using a high speed flying spot X-ray tube. IEEE Trans. Bioeng. BME-28, 717–721. Wehlburg, J., Keshavmurthy, S., Watanabe, Y., Dugan, E., Jacobs, A., 1995. Image restoration techniques using Compton backscatter imaging for the detection of buried landmines. In: Dubey, A.C., Clindrich, I., Ralston, J.M., Rigano, K.A. (Eds.), Detection Technologies for Mines and Mine-like Targets, Proceedings of SPIE, vol. 2496. Williams, B., 1977. Compton Scattering. McGraw-Hill, New York. Yadav, J.S., Savitri, S., Malkar, J.P., 2005. Near room temperature X and gamma-ray spectroscopic detectors for future space experiments. Nucl. Instrum. Methods A 552, 399–408.